How Zeta Zeros Turn Into Poles of 1/ζ(s)
Invert a function and its zeros become singularities. If an L-function L(s, χ) vanishes at a point, then 1/L(s, χ) blows up there: the zero becomes a pole.
#riemannzeta #lfunctions #mobiusfunction #complexanalysis
Invert a function and its zeros become singularities. If an L-function L(s, χ) vanishes at a point, then 1/L(s, χ) blows up there: the zero becomes a pole.
#riemannzeta #lfunctions #mobiusfunction #complexanalysis
October 21, 2026 at 2:02 PM
How Zeta Zeros Turn Into Poles of 1/ζ(s)
Invert a function and its zeros become singularities. If an L-function L(s, χ) vanishes at a point, then 1/L(s, χ) blows up there: the zero becomes a pole.
#riemannzeta #lfunctions #mobiusfunction #complexanalysis
Invert a function and its zeros become singularities. If an L-function L(s, χ) vanishes at a point, then 1/L(s, χ) blows up there: the zero becomes a pole.
#riemannzeta #lfunctions #mobiusfunction #complexanalysis